Prediction of chloride ingress into saturated concrete on the basis of a multi-species model by numerical calculations

2006 ◽  
Vol 3 (6) ◽  
pp. 401-422 ◽  
Author(s):  
T.Q. Nguyen ◽  
V. Baroghel-Bouny ◽  
P. Dangla
Keyword(s):  
Numerical Calculations ◽  
Chloride Ingress ◽  
Saturated Concrete

Prediction of Chloride Ingress in Saturated Concrete Using Formation Factor and Chloride Binding Isotherm

2018 ◽  
Vol 7 (1) ◽  
pp. 20170141 ◽  
Author(s):  
Chunyu Qiao ◽  
Alex Thomas Coyle ◽  
O. Burkan Isgor ◽  
W. Jason Weiss
Keyword(s):  
Chloride Ingress ◽  
Chloride Binding ◽  
Formation Factor ◽  
Binding Isotherm ◽  
Saturated Concrete

COMPARISON BETWEEN EXPERIMENTS AND NUMERICAL CALCULATIONS ON S = 1/2 HEISENBERG-XY FERROMAGNETIC CHAINS

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1451-C8-1452 ◽  
Author(s):  
K. Kopinga ◽  
J. Emmen ◽  
G. C. de Vries ◽  
L. F. Lemmens ◽  
G. Kamieniarz
Keyword(s):  
Numerical Calculations

The Feasibility of Numerical Calculations of Vias Using the Matrix-Penciled Moment Method

PIERS Online ◽  
2010 ◽  
Vol 6 (1) ◽  
pp. 36-40 ◽  
Author(s):  
Hailiang Li ◽  
Yu Tian ◽  
Tong Ling
Keyword(s):  
Moment Method ◽  
Numerical Calculations ◽  
The Matrix

Estimation of the Amount of Chloride Ingress in Concrete Taking Into Account Differences in the Amount of Adhering Salt on Bridge Members

2016 ◽  
Vol 54 (2) ◽  
pp. 164-169
Author(s):  
A. Kamiharako ◽  
J. Tomiyama ◽  
K. Arai ◽  
T. Habuchi
Keyword(s):  
Chloride Ingress

Normal form method in search for periodic solutions of ordinary differential equations. Case of the fourth order

2018 ◽  
pp. 24-34
Author(s):  
V. F. Edneral ◽  
O. D. Timofeevskaya
Keyword(s):  
Normal Form ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Periodic Solutions ◽  
Fourth Order ◽  
Numerical Solutions ◽  
Numerical Calculations ◽  
Computational Time ◽  
Resonant Normal Form ◽  
Normal Form Method

Introduction:The method of resonant normal form is based on reducing a system of nonlinear ordinary differential equations to a simpler form, easier to explore. Moreover, for a number of autonomous nonlinear problems, it is possible to obtain explicit formulas which approximate numerical calculations of families of their periodic solutions. Replacing numerical calculations with their precalculated formulas leads to significant savings in computational time. Similar calculations were made earlier, but their accuracy was insufficient, and their complexity was very high.Purpose:Application of the resonant normal form method and a software package developed for these purposes to fourth-order systems in order to increase the calculation speed.Results:It has been shown that with the help of a single algorithm it is possible to study equations of high orders (4th and higher). Comparing the tabulation of the obtained formulas with the numerical solutions of the corresponding equations shows good quantitative agreement. Moreover, the speed of calculation by prepared approximating formulas is orders of magnitude greater than the numerical calculation speed. The obtained approximations can also be successfully applied to unstable solutions. For example, in the Henon — Heyles system, periodic solutions are surrounded by chaotic solutions and, when numerically integrated, the algorithms are often unstable on them.Practical relevance:The developed approach can be used in the simulation of physical and biological systems.

Sign in / Sign up

Export Citation Format

Share Document